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1. |
Find p(2) for p(x) = x4 + 3x3 - 2x2 - 4x + 1. |
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A. |
-7 |
B. |
-1 |
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C. |
25 |
D. |
12 |
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Hint |
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2. |
Find f(-2) for f(x) = 2x4 - x3 + 5x + 1. |
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A. |
-21 |
B. |
31 |
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C. |
-29 |
D. |
-57 |
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Hint |
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3. |
Approximate the real zero of g(x) = x5 - x2 - 1 to the nearest tenth. |
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A. |
1.2 |
B. |
1.1 |
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C. |
1.0 |
D. |
0.9 |
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Hint |
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4. |
Graph f(x) = x3 - 4x2 + 2x – 3. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
State the number of positive real zeros for the polynomial
f(x) = x3 + 4x2 + x + 5. |
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A. |
0 |
B. |
3 |
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C. |
1 |
D. |
2 |
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Hint |
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6. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
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A. |
y = x2 - 5x - 6 |
B. |
y = x2 + x - 6 |
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C. |
y = x3 - 2x2 - 9x + 18 |
D. |
y = x3 - 2x2 + 9x - 18 |
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Hint |
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7. |
List all possible rational zeros of f(x) = 2x3 - 5x2 + 3x - 1. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Find all of the rational zeros of the function p(x) = 2x3 + 3x2 - 11x - 6. |
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A. |
-6 |
B. |
-3, 1 |
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C. |
-3, 2 |
D. |
 |
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Hint |
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9. |
Which equation is in quadratic form? |
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A. |
3x3 + 3x + 3 = 0 |
B. |
x4 - x2 + x - 1 = 0 |
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C. |
 |
D. |
 |
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Hint |
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10. |
Solve x4 - 5x2 + 4 = 0. |
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A. |
-1, 1, -2, 2 |
B. |
-1, 1, -2i, 2i |
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C. |
-1, 1 |
D. |
1, 2 |
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Hint |
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11. |
Find  if g(x) = x - 5 and h(x) = |x|. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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12. |
If f(x) = 2x and g(x) = x + 4, find  |
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A. |
13 |
B. |
-1 |
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C. |
1 |
D. |
7 |
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Hint |
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13. |
Which pair of functions are inverses? |
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A. |
f(x) = 4x, g(x) = -4x |
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B. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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C. |
 |
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D. |
 |
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Hint |
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14. |
If a graph represents an odd-degree polynomial function, what must be true? |
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A. |
It must pass through the x-axis. |
B. |
It must have at least three roots. |
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C. |
As  ,  |
D. |
It may not have any real roots. |
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Hint |
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15. |
If a binomial x – a divides a polynomial, what must be true in order for it to be a factor of the polynomial? |
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A. |
The polynomial must be at least of degree three. |
B. |
It must divide the polynomial in half. |
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C. |
The remainder must be 0. |
D. |
There cannot be any other factor x – a. |
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Hint |
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16. |
Given that f(x) and g(x) are inverses, which of the following is true? |
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A. |
 |
B. |
 |
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C. |
 is undefined |
D. |
 |
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Hint |
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17. |
Find the x- and y-intercepts of  . |
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A. |
x: , y: no intercept |
B. |
x: no intercept, y: |
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C. |
x: 7, y:  |
D. |
x:, y: |
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Hint |
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18. |
Which of the following points will not be included in the graph of  ? |
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A. |
(2, 4) |
B. |
(4, 6) |
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C. |
(-2, 4) |
D. |
(3, 9) |
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Hint |
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